The new coordinates will be ( 7,5) and (11,9) , Option A is the correct answer.
The reciprocal function is the inverse of the function, such that 1/ f(x) is the reciprocal of f(x).
The given linear function has pairs of points
(5,7) and (9,11)
The reciprocal of this will be
interchanging of the coordinates
Therefore the new coordinates will be
( 7,5) and (11,9)
Option A is the correct answer.
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